作者: Yair Censor , Martin D. Altschuler , William D. Powlis
DOI: 10.1016/0096-3003(88)90064-1
关键词: Radiation field 、 Mathematics 、 Software development 、 Inverse problem 、 Radiation therapy 、 Mathematical optimization 、 Inversion (meteorology) 、 Discretization 、 Radiation treatment planning 、 Patient section
摘要: Radiation therapy concerns the delivery of proper dose radiation to a tumor volume without causing irreparable damage healthy tissue and critical organs. The forward problem refers calculating distribution that would be delivered measured patient cross-section when field generated by beam sources is specified. inverse will provide specified in patient. problems radiation-therapy treatment planning are first formulated their continuous versions, point made that, this application, calls for inversion an operator which no analytic closed-form mathematical representation exists. To attack under such circumstances, discretized model set up both section finely discretized. This leads linear feasibility problem, solved relaxation method. paper includes full details new approach, with discussion technical aspects as apportionment, software development, experimental results. Consequences limitations well precise comparison other methodologies also discussed.